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                Hdu5403 Goldbach                </h1>
                <p>时间限制：4s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：64MB</p>			</div>
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                                <h3>题目描述</h3><p><div>Let d(x) be the sum of all divisors of x. x is called a good number if every number from 1 to d(x) can be expressed as a sum of distinct divisors of x.</div>
<div></div>
<div>For example, 6 is a good number, d(6)=1+2+3+6=12, 4=1+3,5=2+3,7=1+6 and so on.</div>
<div></div>
<div>Teacher Mai wants to know whether a even number p can be expressed as a sum of two good numbers.</div>
<p></p></p><hr/><h3>输入格式</h3><p><div>There are multiple test cases(about 40000).</div>
<div></div>
<div>For each test case, there is only one line contains one even number p(1&le;p&le;10^18).</div>
<div></div>
<div>Most test cases are generated randomly.</div>
<p></p></p><hr/><h3>输出格式</h3><p><div>For each test case, print &quot;YES&quot; or &quot;NO&quot; in the first line. That means if is possible to express p as a sum of two good numbers.</div>
<div></div>
<div>If your answer is &quot;YES&quot;, print two number a,b in the second lines. Both a and b should be good numbers, and a+b=p.</div>
<div></div>
<div>In the third and the fourth line, print the factorization of number a and b. If a=sigma(pi^ei),(1&lt;=i&lt;=k) where p1&lt;p2&lt;⋯&lt;pk, pi are all prime numbers and ei&ge;1, you should print k first, then 2k space-seperated numbers p1,e1,p2,e2,⋯,pk,ek.</div>
<p></p></p><hr/><h3>样例输入</h3><pre>18</pre><hr/><h3>样例输出</h3><pre>YES
6 12
2 2 1 3 1
2 2 2 3 1
Hint
0 is not a good number.  
</pre><hr/><h3>提示</h3><p><p>请不要提交，尚无Spj</p>
<p></p></p><hr/><h3>题目来源</h3><p>By xudyh</p>
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